What is the Greatest Common Factor of 52508 and 52515?

Greatest common factor (GCF) of 52508 and 52515 is 1.

GCF(52508,52515) = 1

We will now calculate the prime factors of 52508 and 52515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52508 and 52515.

How to find the GCF of 52508 and 52515?

We will first find the prime factorization of 52508 and 52515. After we will calculate the factors of 52508 and 52515 and find the biggest common factor number .

Step-1: Prime Factorization of 52508

Prime factors of 52508 are 2, 13127. Prime factorization of 52508 in exponential form is:

52508 = 2² × 13127¹

Step-2: Prime Factorization of 52515

Prime factors of 52515 are 3, 5, 389. Prime factorization of 52515 in exponential form is:

52515 = 3³ × 5¹ × 389¹

Step-3: Factors of 52508

List of positive integer factors of 52508 that divides 52508 without a remainder.

1, 2, 4, 13127, 26254

Step-4: Factors of 52515

List of positive integer factors of 52515 that divides 52508 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 389, 1167, 1945, 3501, 5835, 10503, 17505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52508 and 52515. The biggest common factor number is the GCF number.
So the greatest common factor 52508 and 52515 is 1.

Also check out the Least Common Multiple of 52508 and 52515